In this paper, following the approach [1]}, [2]} we will generalize these discussions to more generic case. So we are going to study the Einstein-Maxwell-Dilaton-Axion theory with Gauss-Bonnet term and find the DC and Hall conductivities analytically. The attractor mechanism and the Sen' entropy function in Gauss-Bonnet gravity will be performed in calculations. One of the motivations is that when we consider the semi-classical effect, the Gauss-Bonnet term appears as the curvature stringy correction. On the other hand, what we consider in this paper is Gauss-Bonnet gravity coupled with a nontrivial dilaton field and potential. Unlike the case of [3]}, there is no exact black hole solution exists, so it is impossible to get the DC conductivities from horizon data directly. We can use the entropy function and solve the attractor equations to express the conductivities at zero temperature.
